What is -16x^2+9y^2-64x-18y=199 ?

The solution to -16x^2+9y^2-64x-18y=199 is Hyperbola with (h,k)=(-2,1),a=4,b=3

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-16x^2+9y^2-64x-18y=199

- 16 x^{2} + 9 y^{2} - 64 x - 18 y = 199

(h, k) = (- 2, 1), a = 4, b = 3

Solution steps

- 16 x^{2} + 9 y^{2} - 64 x - 18 y = 199

Rewrite

- 16 x^{2} + 9 y^{2} - 64 x - 18 y = 199

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{4 ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 4, b = 3

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = - 1

2 y^{2} - 3 x^{2} - 4 y + 12 x + 8 = 0

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

y^{2} = x^{2} + 144

\frac{x ^{2}}{4} - \frac{3 y ^{2}}{4} = 1

What is -16x^2+9y^2-64x-18y=199 ?
The solution to -16x^2+9y^2-64x-18y=199 is Hyperbola with (h,k)=(-2,1),a=4,b=3